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Simplifying 30r2 + 43r + 15 = 0 Reorder the terms: 15 + 43r + 30r2 = 0 Solving 15 + 43r + 30r2 = 0 Solving for variable 'r'. Factor a trinomial. (5 + 6r)(3 + 5r) = 0Subproblem 1
Set the factor '(5 + 6r)' equal to zero and attempt to solve: Simplifying 5 + 6r = 0 Solving 5 + 6r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6r = 0 + -5 6r = 0 + -5 Combine like terms: 0 + -5 = -5 6r = -5 Divide each side by '6'. r = -0.8333333333 Simplifying r = -0.8333333333Subproblem 2
Set the factor '(3 + 5r)' equal to zero and attempt to solve: Simplifying 3 + 5r = 0 Solving 3 + 5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5r = 0 + -3 5r = 0 + -3 Combine like terms: 0 + -3 = -3 5r = -3 Divide each side by '5'. r = -0.6 Simplifying r = -0.6Solution
r = {-0.8333333333, -0.6}
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